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Finding the Fourth Proportional to 467.60, 699.82 and 358.07

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Solution

The fourth proportional to 467.60, 699.82 and 358.07 is: 535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 699.82 = 358.07 : x
  2. Step 2: Convert to fraction form
    467.60/699.82 = 358.07/x
  3. Step 3: Cross multiply
    467.60x = 699.82 × 358.07
  4. Step 4: Simplify right side
    467.60x = 250,580.15
  5. Step 5: Solve for x
    x = 250,580.15/467.60
  6. Step 6: Final answer
    x = 535.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.